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Colored five-vertex models and Demazure atoms. (arXiv:1902.01795v1 [math.CO])
来源于:arXiv
Type A Demazure atoms are pieces of Schur functions, or sets of tableaux
whose weights sum to such functions. Inspired by colored vertex models of
Borodin and Wheeler, we will construct solvable lattice models whose partition
functions are Demazure atoms; the proof of this makes use of a Yang-Baxter
equation for a colored five-vertex model. As a biproduct, we construct Demazure
atoms on Kashiwara's $\mathcal{B}_\infty$ crystal and give new algorithms for
computing Lascoux-Sch\"utzenberger keys. 查看全文>>